You visited us 1 times! Enjoying our articles? Unlock Full Access!

Location of Roots when Compared with a Constant 'k'

Let S be the ...

Question

Let S be the set of values of 'a' for which 2 lie between the roots of quadratic equation $x^{2} + (a + 2) x - (a + 3) = 0$ . Then S is given by

[5, \infty)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(- \infty, - 5)

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(5, \infty)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(- \infty, - 5]

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $(- \infty, - 5)$
Solution : $x^{2} + (a + 2) x - (a + 3) = 0$
$f (2) < 0$
$4 + 2 (a + 2) - (a + 3) < 0$
$a + 5 < 0$
$a < - 5$
$a \in (- \infty, - 5)$

Suggest Corrections

Similar questions

x^{2} + (a + 2) x - (a + 3) = 0

Let $x^{2}$ - (m - 3) x + m = 0, m ∈ R be a quadratic equation. The values of m for which both roots lie in between 1 and 2 is given by

a x^{2} + a^{2} x + 2 = 0

a \in R

S

a

a

S

Let $x^{2} - (m - 3) x + m = 0, m \in R$ be a quadratic equation. The values of $m$ for which both roots lie in between $1$ and $2$ is given by

a x^{2} + a^{2} x + 2 = 0

a \in R

S

a

α

β

- α β

Join BYJU'S Learning Program